GCD of 120, 862, 589, 649 Calculator

Given Input numbers are 120, 862, 589, 649

In the factoring method, we have to find the divisors of all numbers

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862

Divisors of 589 :

The positive integer divisors of 589 that completely divides 589 are.

1, 19, 31, 589

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

GCD of numbers is the greatest common divisor

So, the GCD (120, 862, 589, 649) = 1.

Given numbers are 120, 862, 589, 649

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 862 are 2 x 431

Prime factors of 589 are 19 x 31

Prime factors of 649 are 11 x 59

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 120, 862, 589, 649

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(120, 862) = 51720

GCD(120, 862) = ( 120 x 862 ) / 51720

= 120 / 862

= 120

Step2:

LCM(2, 589) = 1178

GCD(2, 589) = ( 2 x 589 ) / 1178

= 2 / 589

= 2

Step3:

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

= 1 / 649

= 1

So, Greatest Common Divisor of 120, 862, 589, 649 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 158, 391, 846, 356
• GCD of 634, 728, 454, 403
• GCD of 230, 108, 625, 709
• GCD of 276, 855, 289, 218
• GCD of 557, 152, 238, 884

Given numbers are 120, 862, 589, 649
The greatest common divisor of numbers 120, 862, 589, 649 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 862, 589, 649 is 1.

1. What is the GCD of 120, 862, 589, 649?

GCD of given numbers 120, 862, 589, 649 is 1

2. How to calculate the greatest common divisor of 120, 862, 589, 649?

We can find the highest common divisor of 120, 862, 589, 649 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 120, 862, 589, 649 i.e 1.

3. How can I use the GCD of 120, 862, 589, 649Calculator?

Out the numbers 120, 862, 589, 649 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.